Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 13/166,6501/7807
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 13,6501
Greatest Common Factor of Numerators i.e. GCF of 13,6501 is 1 .
LCM of Denominators means LCM of 166,7807 as per the given fractions.
LCM of 166,7807 is 1295962 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 13,6501
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 13
List of positive integer factors of 13 that divides 13 without a remainder.
1,13
Factors of 6501
List of positive integer factors of 6501 that divides 6501 without a remainder.
1,3,11,33,197,591,2167,6501
Greatest Common Factor
We found the factors 13,6501 . The biggest common factor number is the GCF number.
So the greatest common factor 13,6501 is 1.
Lets's calculate LCM of 166,7807
Given numbers has no common factors except 1. So, there LCM is their product i.e 1295962
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1295962
Therefore, the GCF of Fractions 13/166,6501/7807 is 1/1295962
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 166,7807 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(166,7807) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(166,7807) x common factors =1 x 1 = 1
LCM(166,7807) = ( 166 × 7807 ) / 1
LCM(166,7807) = 1295962 / 1
LCM(166,7807) = 1295962
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 13/166, 6501/7807?
Answer: GCF of Numerators as per given numbers 13/166, 6501/7807 is
GCF of Numerators i.e. for 13,6501 is 1
LCM of denominators i.e. for 166,7807 is 1295962.
Thus, GCF of Fractions is 1/1295962.Finally, GCF of Fractions for 13/166, 6501/7807 is 1/1295962.